What 2 square numbers subtract to make 2312?

What two square numbers subtract to make 2312? In other words, when you subtract one square number from another square number, the answer is 2312. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 2312

We solved the equation above and found this to be true:

51² - 17² = 2312

51² is 2601 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 2312?" is 2601 and 289 as illustrated below:

2601 - 289 = 2312

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 2312. Below we list alternate solutions if available.

84681 - 82369 = 2312
335241 - 332929 = 2312

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